Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1
We consider a mixed boundary-value problem for the Poisson equation in a two-level junction " which is the union of a domain Ω₀ and a large number of thin cylinders with cross-section of order O(ε²): The thin cylinders are divided into two levels depending on their lengths. In addition, the t...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106622 |
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| Zitieren: | Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 / T.A. Mel`nyk, P.S. Vashchuk // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 318-337. — Бібліогр.: 37 назв. — англ. |
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Mel'nyk, T.A. Vashchuk, P.S. 2016-10-01T13:33:16Z 2016-10-01T13:33:16Z 2006 Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 / T.A. Mel`nyk, P.S. Vashchuk // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 318-337. — Бібліогр.: 37 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106622 We consider a mixed boundary-value problem for the Poisson equation in a two-level junction " which is the union of a domain Ω₀ and a large number of thin cylinders with cross-section of order O(ε²): The thin cylinders are divided into two levels depending on their lengths. In addition, the thin cylinders from each level are ε-periodically alternated. The nonuniform Neumann conditions are given on the lateral sides of the thin cylinders from the rst level and the uniform Fourier conditions are given on the lateral sides of the thin cylinders from the second level. We study the asymptotic behavior of the solution as ε → 0: The convergence theorem and the convergence of the energy integral are proved. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| spellingShingle |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 Mel'nyk, T.A. Vashchuk, P.S. |
| title_short |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_full |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_fullStr |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_full_unstemmed |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_sort |
homogenization of the neumann-fourier problem in a thick two-level junction of type 3:2:1 |
| author |
Mel'nyk, T.A. Vashchuk, P.S. |
| author_facet |
Mel'nyk, T.A. Vashchuk, P.S. |
| publishDate |
2006 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
We consider a mixed boundary-value problem for the Poisson equation in a two-level junction
" which is the union of a domain Ω₀ and a large number of thin cylinders with cross-section of order O(ε²): The thin cylinders are divided into two levels depending on their lengths. In addition, the thin cylinders from each level are ε-periodically alternated. The nonuniform Neumann conditions are given on the lateral sides of the thin cylinders from the rst level and the uniform Fourier conditions are given on the lateral sides of the thin cylinders from the second level. We study the asymptotic behavior of the solution as ε → 0: The convergence theorem and the convergence of the energy integral are proved.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106622 |
| citation_txt |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 / T.A. Mel`nyk, P.S. Vashchuk // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 318-337. — Бібліогр.: 37 назв. — англ. |
| work_keys_str_mv |
AT melnykta homogenizationoftheneumannfourierprobleminathicktwoleveljunctionoftype321 AT vashchukps homogenizationoftheneumannfourierprobleminathicktwoleveljunctionoftype321 |
| first_indexed |
2025-12-01T01:51:34Z |
| last_indexed |
2025-12-01T01:51:34Z |
| _version_ |
1850859015424180224 |